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Antiferromagnetic character of the quantum phase transition in the Hubbard model on the honeycomb lattice

Journal Article · · Physical Review. B
 [1];  [2];  [3];  [4];  [5];  [6]
  1. Univ. of Bonn (Germany); OSTI
  2. Univ. of Maryland, College Park, MD (United States); Forschungszentrum Juelich (Germany)
  3. Forschungszentrum Juelich (Germany); Julich Aachen Research Alliance (JARA) (Germany). Julich Supercomputing Centre (JSC); Univ. of Bonn (Germany)
  4. Forschungszentrum Juelich (Germany)
  5. Forschungszentrum Juelich (Germany); Univ. of Bonn (Germany)
  6. Univ. of Bonn (Germany)
+ Show Author Affiliations
In this work we provide a unified, comprehensive treatment of all operators that contribute to the antiferromagnetic, ferromagnetic, and charge-density-wave structure factors and order parameters of the hexagonal Hubbard Model. We use the Hybrid Monte Carlo algorithm to perform a systematic, carefully controlled analysis in the temporal Trotter error and of the thermodynamic limit. We expect our findings to improve the consistency of Monte Carlo determinations of critical exponents. We perform a data collapse analysis and determine the critical exponent β = 0.898 (37) for the semimetal-Mott insulator transition in the hexagonal Hubbard Model. Our methods are applicable to a wide range of lattice theories of strongly correlated electrons.
Research Organization:
Univ. of Maryland, College Park, MD (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
FG02-93ER40762
OSTI ID:
1979668
Journal Information:
Physical Review. B, Journal Name: Physical Review. B Journal Issue: 15 Vol. 104; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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conference March 2017

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Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
Honeycomb lattice
Hubbard model
Materials Science
Physics
antiferroelectricity
electronic structure
hybrid Monte Carlo algorithm
order parameters
quantum phase transitions